Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 450, 304, 145, 911 i.e. 1 largest integer that divides all the numbers equally.
GCD of 450, 304, 145, 911 is 1
GCD(450, 304, 145, 911) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 450, 304, 145, 911 is 1
GCD(450, 304, 145, 911) = 1
Given Input numbers are 450, 304, 145, 911
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 911
List of positive integer divisors of 911 that divides 911 without a remainder.
1, 911
Greatest Common Divisior
We found the divisors of 450, 304, 145, 911 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 304, 145, 911 is 1.
Therefore, GCD of numbers 450, 304, 145, 911 is 1
Given Input Data is 450, 304, 145, 911
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 145 is 5 x 29
Prime Factorization of 911 is 911
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(450, 304) = 68400
GCD(450, 304) = ( 450 x 304 ) / 68400
GCD(450, 304) = 136800 / 68400
GCD(450, 304) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 145) = 290
GCD(2, 145) = ( 2 x 145 ) / 290
GCD(2, 145) = 290 / 290
GCD(2, 145) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 911
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 911) = 911
GCD(1, 911) = ( 1 x 911 ) / 911
GCD(1, 911) = 911 / 911
GCD(1, 911) = 1
GCD of 450, 304, 145, 911 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 450, 304, 145, 911?
GCD of 450, 304, 145, 911 is 1
2. Where do I get the detailed procedure to find GCD of 450, 304, 145, 911?
You can find a detailed procedure to find GCD of 450, 304, 145, 911 on our page.
3. How to find GCD of 450, 304, 145, 911 on a calculator?
You can find the GCD of 450, 304, 145, 911 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.